document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77739>Question 77739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Science and medicine. Ariana took 2 h longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55793 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance(d) = rate(r) times time(t) or d=rt, t=d/r and r=d/t\r<BR>\n" );
document.write( "\n" );
document.write( "We are told that the speed (rate) on both days are the same\r<BR>\n" );
document.write( "\n" );
document.write( "Let t=driving time on the second day of trip<BR>\n" );
document.write( "Then t+2=driving time on first day of trip\r<BR>\n" );
document.write( "\n" );
document.write( "Rate on  second day=270/t\r<BR>\n" );
document.write( "\n" );
document.write( "Rate on first day=360/(t+2)\r<BR>\n" );
document.write( "\n" );
document.write( "But we are told that:\r<BR>\n" );
document.write( "\n" );
document.write( "Rate on second day=rate on first day, so\r<BR>\n" );
document.write( "\n" );
document.write( "270/t=360/(t+2)  multiply both sides by t(t+2) to get rid of fractions\r<BR>\n" );
document.write( "\n" );
document.write( "(270(t)(t+2))/t=(360(t)(t+2))/(t+2)  simplify\r<BR>\n" );
document.write( "\n" );
document.write( "270(t+2)=360t  get rid of parens\r<BR>\n" );
document.write( "\n" );
document.write( "270t+540=360t  subtract 270t from both sides\r<BR>\n" );
document.write( "\n" );
document.write( "360t-270t=270t-270t+540  collect like terms\r<BR>\n" );
document.write( "\n" );
document.write( "90t=540  divide both sides by 90\r<BR>\n" );
document.write( "\n" );
document.write( "t=6 hours-------------------driving time second day\r<BR>\n" );
document.write( "\n" );
document.write( "t+2=6+2=8 hours----------------------driving time first day\r<BR>\n" );
document.write( "\n" );
document.write( "ck\r<BR>\n" );
document.write( "\n" );
document.write( "r=d/t\r<BR>\n" );
document.write( "\n" );
document.write( "r=360/(6+2)=360/8=45 mph\r<BR>\n" );
document.write( "\n" );
document.write( "r=270/6=45 mph\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps-----ptaylor\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );